GATE | GATE CS 1997 | Question 18

In a lattice defined by the Hasse diagram given in figure 3.3, how many complements does the element ‘e’ have?
asd

 

 



 

 

 
(A) 2
(B) 3
(C) 0
(D) 1


Answer: (B)

Explanation: The element e has 3 complements – g,c and d-
 e\vee g=a \text{ and } e\wedge g=f\\ e\vee c=a \text{ and } e\wedge c=f\\ e\vee d=a \text{ and } e\wedge d=f
So option B is correct.

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